968489280 has 336 divisors, whose sum is σ = 3827678400. Its totient is φ = 222289920.

The previous prime is 968489243. The next prime is 968489281. The reversal of 968489280 is 82984869.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (968489281) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 601116 + ... + 602724.

It is an arithmetic number, because the mean of its divisors is an integer number (11391900).

Almost surely, 2^968489280 is an apocalyptic number.

968489280 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 968489280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1913839200).

968489280 is an abundant number, since it is smaller than the sum of its proper divisors (2859189120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

968489280 is a wasteful number, since it uses less digits than its factorization.

968489280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1662 (or 1649 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The square root of 968489280 is about 31120.5604062652. The cubic root of 968489280 is about 989.3841287353.

The spelling of 968489280 in words is "nine hundred sixty-eight million, four hundred eighty-nine thousand, two hundred eighty".